If you're going down the hardpoint-saw route then another one to consider is the Predator from Spear & Jackson. They're quite well thought of here as you'll see if you have a quick search. And cheap as chips, under a tenner a piece.
Hybrid tooth pattern but they still rip really well. I've done numerous side-by-side comparisons with mine over a few years against two models of Stanley hardpoint saw (one of which has a lower tooth count and significantly deeper gullets) and a conventional saw filed rip (but not a proper rip with very low TPI) and the first-fix version of the Predator is always the fastest, sometimes significantly.
Both of the Predators I own are also consistently the easiest to steer, so I think that is down to the saws and not an artefact of the user
Hybrid tooth pattern but they still rip really well. I've done numerous side-by-side comparisons with mine over a few years against two models of Stanley hardpoint saw (one of which has a lower tooth count and significantly deeper gullets) and a conventional saw filed rip (but not a proper rip with very low TPI) and the first-fix version of the Predator is always the fastest, sometimes significantly.
Both of the Predators I own are also consistently the easiest to steer, so I think that is down to the saws and not an artefact of the user