Wow, the stress lines got
significantly worse after my trail ride this morning

They may have nothing to do with the 'squishing' sound - I really think that is a tube-tire friction problem. But I'm fairly certain the lines are cosmetic in nature and related to their age (6 years). I was running about 12PSI on the trail today and that seemed optimal. Started out at around 18 and the bike was nearly unrideable.