When you read this, note there are some changes in the OP to reflect other Battle Arena tests. Your views on other topics?
Regarding your recently-redacted proposed buff to Pulse Wave Cannons, I tend to feel that the Pulse Wave Cannon is more directly comparable to the Shatterforce Laser than to the Titan Beam, due to both its location in the tech tree (including upgrades) and its range and DPS profile. That said, comparing the Pulse Wave III to the Titan Beam II, it looks like the Pulse Wave Cannon is superior in anything other than perhaps its armor penetration capability - better DPS over the entire range band, lower energy requirements (both per shot and per second), and less of a range penalty, in exchange for just barely less base shot damage (and the two weapons should have equal per-shot damage at 200 range, which means that beyond that point the Pulse Wave Cannon III ought to have superior armor penetration to the Titan Beam II, on top of its other superior statistics). The Titan Beam III is the first blaster that looks strictly superior to the Pulse Wave III, but the Titan Beam III requires significantly more research to get than the Pulse Wave Cannon III (even the Titan Beam II requires significantly more research than the Pulse Wave II, for that matter).
Pulse Wave Is look to be superior to Shatterforce Is and IAB Is in every way except their energy cost, having superior DPS and per-shot damage than either out to 300 range (at which point the Pulse Wave I and Shatterforce I have equal per-shot damage, and no more than 20 range left before they can't fire anymore). Pulse Wave IIs also seem to be superior to the IAB II and Shatterforce II, with superior per-shot damage to the IAB II at ranges greater than 100 and superior DPS to either, and the Shatterforce II's per shot damage never exceeds the Pulse Wave II's at any range (aside from the 370 to 380 range band where the Shatterforce can hit the target but the Pulse Wave cannot). Pulse Wave IIs also look to be superior to Titan Beam Is in every way except per-shot damage at ranges less than 300, and strictly superior beyond that range.
As a result, on paper it looks like the Pulse Wave doesn't really need a buff in comparison to the weapons that fit in the same range band at any stage in the game, unless it's not considered fine for the much more research-expensive Titan Beam III to be a somewhat better weapon. In my opinion, it looks like these are in a decent spot.
As for what you've got in the original post at the moment: I'm not sure how I feel about boosting the Shaktur FireStorm. Aside from the Massive Rail Gun, which is a fairly crappy weapon, it's the only weapon in the game that provides both bombardment capability and ship-to-ship combat capability, and unlike the Massive Rail Gun, it's already a worthwhile weapon in either role. The Plasma Thunderbolt III is already much more expensive in research to obtain, requiring one generation-2, one generation-3 two generation-4 and two generation-5 techs as well as one generation-6, one generation-7, and one generation-8 tech, as opposed to the Shaktur FireStorm III's requirements of one tech in geneeration-2, one in generation-3, one in generation-5, and one in generation-7. If it's okay for the Titan Beam III to be superior, on paper, to the Pulse Wave Cannon III even though the Pulse Wave III doesn't have the secondary bombardment role, I don't see why the Shaktur FireStorm III should be equal to the Plasma Thunderbolt III on paper or in practice. In terms of research invested, it's much closer to being comparable to the Plasma Thunderbolt I and appears, on paper, to be superior to that weapon over the full shared range band; even compared against the Plasma Thunderbolt II it appears strictly superior at ranges less than 250 and has better per shot damage out until about 300 range.
The phaser lance change seems fine, though that might push the phaser lance into being too superior to the phaser cannon, due to much better range and very similar DPS combined with much better per-shot damage. Not sure how I feel about the rail gun changes; it seems to me that when the Impact Assault Blaster and Shatterforce Laser are introduced is about when rail guns should start failing. I'd think having that matchup be about a 50-50 shot for either side seems reasonable if both close to close quarters, but I really don't think that any of the rail guns should be competitive against Titan Beams.