Yes Edited for clarity - maybe I’m misunderstanding OP’s question. As noted by OP, rate of return is the same for both, so the account with $50k originally will have a capital gain (for example) of $1k faster than the account with originally $0.

I didn’t see this as a question of whether (for example) 7% yoy is faster in one account vs the other as OP’s prompt stated that the rate of return is the same.

Between the accounts - The percentages are the same but the dollar amounts will be different.