Bending forged clubs (with leverage) is significantly easier/safer than bending cast ones (normally a wollop with a rubber hammer). 2* isn't a huge amount to adjust, so should be Ok.
Yes, too flat can give you problems but it's quite possible that it can 'help' with your swing as your brain/hands can be pretty good at adjusting (definitely not going to say 'will' there!). As long as all the clubs are set up the same (2* flat), then a slighter flatter swing would compensate for the lie. That may or may not be a good thing!
If you are contemplating swing changes, then different lie angles are a bit of a red herring - speak to your Pro about what he plans (good idea to do that anyway - he may just be planning on taking money off you!). Some fitters don't use dynamic (swung) fitting if swing changes are planned - merely measuring (static) as the changes can affect the lie requirement significantly.
Having said all that, I'm going to go into 'girlie' mode and say I like the look of the AP2s better. I'm not keen on colours on irons and prefer slim looking clubs. When I saw he width of the sole of my mate's G10 PW (and that was 2* upright) I thought 'how the hell can I hit that'. Of course the answer was 'bloody easily and a long way!' and the Burners are the same. So if you want/need confidence at address(the equivalent of 'how can I miss') then the Burners will do that. If you are already a good ball-striker and want feedback, then the AP2s will do that better but be prepared to lose some yardage with the slight miss-hits.
