That happened to me with my Pirelli P7's on my Accord. Sam's club used too much lubricant. Tires spun on the rim, I had the pictures to show a friend my rims/tires. One tire ended up 180 degrees out, the other 90 or 270 not sure but a 1/4 circle. Luckily they didn't need much weights to balance so not crazy vibration. It was enough to give a headache when trying to sleep alternating driving/sleeping/energy drinks on a 3 day, 2400 mile round trip.
'17 Accord, 6MT, 4cyl, had enough torque either starting or braking to cause that. Both my son and I were driving easy and in traffic for a while, then it was open road for a LONG time.
4/32" I'd probably run them depending wet performance. I had my son's car on 3-4/32" Michelin Premiers and we both were trying them for hydroplane and wet braking. They were still very good but aging out also. I took advantage of the Continental sale and double back with the Conti credit card. $220 off a set of 4, I feel much better that he has new full tread depth rubber as he drives around. Piece of mind is worth something.
Even if no full size spare but at least a donut, make sure it's full before trip. I have this
harbor freight inflator in each car with a plug kit in the bag. Compressor has been used so many times, mostly helping others. No worry of not being charged etc. Last used about 2 weeks ago helping a late 60's woman trying to use a can of fix-a-flat with ruined sidewalls. Her donut spare had never been used or checked, totally flat. Filled the spare to 60, swapped the tire, away she went very grateful and wanting to pay my son and myself. Nope, good karma, drive safe.