'68 Barracuda 383 4spd - throw-out bearing/other issues?

both actually sometimes, but more often when it has been put in gear and you want to let up and roll off. you can hear and feel it in pedal.

Sounds like a pilot bearing, but could also be a dry/worn throw out bearing. The only time the pilot bearing spins is when the input shaft is free from the crankshaft as the clutch is fully depressed/ disengaged. If the trans is in neutral, the input shaft will often spin with the crank even when the clutch is fully depressed making less noise than when the input shaft of the transmission is held by being in engaged by being in gear, more so without the car moving.

I've noticed they are using a very low grade grease in the recent replacement throw out bearings. I've had bad luck with the McCleod units specifically. I have a Hays unit in my car now. Probably made in China. The Chines manufacturers will cut corners on this type of thing to put more money in their pockets until they are called on it.

If you are running a bushing type pilot bearing and are replacing it, you will need to hold the new replacement bushing down on the palm of your hand or thumb, fill it with a high quality gear oil and compress the trapped fluid with your other thumb until the compressed oil oozes through the walls of the bushing.

Once it does, clean it off well and drive it in place. It does help if you can insert the input shaft of the transmission into it to check the internal size and fit before you try doing the final assembly.

I like the roller bearing pilots myself, and they are interesting to change out too.