You say that you checked the transaction on the blockchain explorer, but in fact you checked the balance of the address. You need the TXID to find the transaction on the blockchain explorer. If your transaction was confirmed on the network, you should have its TXID.
Tried to google for TXID but all results point to blockchain explorer and in the transaction page of it I can find no mention of TXID
What do you mean by that? When you import your seed into a new wallet, it asks you which script type, i.e. which type of wallet you want. If you choose the wrong one, you will get a completely different set of addresses in your wallet.
Both "cold" and "hot" wallets have the same bc1 addresses of course.
But instead of testing with transactions, and potentially losing money, why not simply compare the addresses in your "hot" wallet and your "cold" wallet to see if they match?
That is the first thing I checked. But the set of addresses are totally different, at least looking at the beginning. So I thought that different wallets may mix the addresses randomly, but the same be able to receive the transaction, for that I tested with real money.