I do both with seedlings. Big pot and solo cup. I think what hangs up alot of new growers is their watering habits. In a solo cup the top growth will develop a little quicker because the roots hit "the bottom" long before they would in a large container.
In large containers it doesn't look like the plant's doing very much,, and so they throw more Water at it in an attempt to help it. Not realizing that the soil isn't even close to dry deeper down towards the middle, even tho the surface is dry.
Autos are a bit more sensitive than photos, but any plant can be repotted. With autos I'd probably give it a little kelp and aloe to reduce any potential stress. But a gentle hand is all that's really needed.
Timing is important I feel with an auto. If you up pot to early, the rootball not being as developed can allow hunks of soil to fall off. And too late won't give the plant enough time to settle into its new home. Root mass and health is a direct reflection of yields.
And this is one of the big reasons I commonly will start in a spongy root cube and go straight into the final container.
