The short answer is "Yes!"
The slightly longer answer is this is a statistical/risk management issue. You might be OK on your 12-year-old tires, but rubber tires
deteriorate over time whether or not the vehicle is driven. Typical industry guidelines are to replace tires every 6 to 8 years regardless
of miles.
Also, as anyone who has experienced it will tell you, getting a flat tire in a ToyHome can be a huge PITA. It will happen at the
least convenient time in the worst location in adverse weather with limited cell reception and the nearest tire shop will not
have a replacement in the right size, etc.
Get yourself some new tires.
Buzz L.
Phoenix, AZ
Former 1986 Dolphin 500 owner