....But a thing I find funny is doing a transaction almost at the same time on both tron link wallet and Klever wallet, a gas fee of just 1 tron was charged on tron link while Klever charged about 13 trx for the same amount of transfer at almost the same time. What can possibly be the reason for that?
You may want to personally check what's happening in the Tron blockchain first before laughing at the difference in fees.
You can ignore the above answers since none of them tried to read first. They don't even know Kelver wallet is non-custodial yet they post about centralized wallet.
Here's something that may answer your question,
The Tron blockchain has implemented new and increased fees from November 24, which means that fees for transaction energy and bandwidth have risen by 400%, and the uptick in fees is aimed at encouraging users on Tron to freeze more TRX.
What is important from a user perspective, particularly if you are a dapp user on Tron, is to freeze more TRX in order to continue to use dapps with no or very small fees. You can easily freeze TRX in your Klever app by clicking the “Freeze” button located in your TRX account screen.
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https://klever.zendesk.com/hc/en-us/articles/360053021131-Tron-increases-fees-here-s-how-to-freeze-TRX-in-Klever-to-enjoy-minimal-feesI bet you did not freeze your TRX in your Klever wallet so you had to pay for the high fees.
You can also check your Tronlink wallet if your TRX was frozen there which allowed you to pay less fees.