The last had some promise but too brief to be sure - they are very subwooferish. The others were six cylinder sounds - too smooth. The O-320 has a smooth sound but you can hear the action of it as it works. If you can find a 'Youtube' of an actual Cherokee 140 or a Supercub/Tripacer/Pacer/Clipper/Family cruiser/super cruiser - they all had Lycoming four bangers.
A thing I've noticed - when you select start with engine(s) running, the fuel selector is on OFF so the engine quits and you instinctively go to Shft/Ctrl/E and nothing happens. Select a fuel tank then click the master/battery switch ON. The starter engages and the engine fires.
Rode a train named after you - a long time ago. My Bulldog had the engine faint right after loadup - tried the old 'shift control e' nothing then I noticed the fuel selector was OFF, corrected that clicked the battery and checked mags on - got a start right away. I see by using the quote that l missed the other answers - all the same though 🙂.
I believe the Piper Cherokees through the early Arrow used the Lyc 4 cylinder also PA18 PA22 - later Skyhawks use it too. If you read the manual first, the installation is simple - however, as a creature of habit, I failed the first try.
Just purchased this little jewel and my only criticism is the engine sound. The Bulldog had a Lycoming 4 cylinder O-360 or O-200 which had a distinctive 4-banger sound - rode behind one for twenty odd years. Your engine sounds like at least six cylinders with a bit of a deisel thrown in. Another thought - since your installation is a bit different, some kind of pre-advisory would be good.