I think You are talking about the centralised-exchanger because you mention that transfer fees, if we talk about the wallet I mean that decentralised wallet then that transfer fees depends on the networks you want to transfer it doesn't depend on the wallet.
And we should check about the most secure wallet for our altcoin then we must should check these that should be open-sourced and as well also the decentralised. And should also have the good features with the security.
Transfer fees of sending coins in wallet depend which one network support, if hold or saving coins in Solana network chain, Binance Smart Chain and Polygon have lower fees than using Ethereum network. For secure wallet actually hold it in hardware wallet because its most secure wallet for saving altcoin but if hold in exchange wallet get easily way when selling during altcoin raise to higher price, if save in wallet take time firstly to send exchange if want sell it and have regulation each exchange how long take time coins credit in the exchange account.
What you said is very true, and all coin transfers are indeed determined to depend on the network we use and, so far, many have provided very cheap fees, so that many use them for each transaction. Binance, Solana, Polygon have indeed done that, and it is not surprising that, until now, it has been, most widely used for new projects because the costs are also affordable, but unfortunately, with a cheap network there is always misuse, so that many worthless coins are worthless in everyone's wallet.
A hard wallet is indeed very good, but if it is only to accommodate bounty results, it is not wrong that the existing wallet is also very good as long as we can maintain it properly.