for me, this is not a lot of money, as you put it, I usually deposit 1 BTC for testing the platform. It's not the first year I've been making money on trading.
Test deposit means you're perfectly fine losing the said amount in case things goes south. I understand that "small" and "huge" can be subjective in some cases but 1BTC is still not an amount that ppl can throw away like candies especially if they worked hard for it and were presented with valid red flags.
If you test the platform with an amount of 0.001 BTC, then even scammers will give you such an amount and even more without any problems, so I see no reason to drag out the time.
If the bitcoin price is at $300, that will not be a problem for those who have many bitcoins. But we talk about bitcoin price in $37k, which will hurt us if they scam us, no matter how many bitcoins you have.
If that exchange does not have a reputation or is still a new exchange, then I will not recommend trying, even with small money because that is not worth losing any money. We have Binance as a reputable exchange, so we do not have to try with the other. Let's say you do not want to use Binance. We still have KuCoin, HotBit, Gate.io, Bittrex, Poloniex, Crypto.com, and else. But that will be up to you because we can only suggest. But be careful to decide.