Yes we can check but it is limited to our own transaction and wallet history but if we want to check the details if block, sender wallet address or checking of current fee then we have to go for explorer.
You can import a Bitcoin public address and check its balance as well as transaction history. It's undeniable that block explorers make it more easier to randomly check any address without any more step or storage on your device like with Watch-only wallets.
hmm, I never used Tor for using Bitcoin explore, Indeed i don't care much about our privacy but thanks for suggestions. Whenever I feel that it times to hidden your privacy then I will use Tor browser. .
It's just privacy-wise recommendation.
I am using Blockchain and blockchair explorer for checking purpose which fulfill my need and I think if one explorer already give you all information then why to use different explorer?
I and nobody can force you to do anything. The list gives you different explorers to choose and use, that's it. You are free to do whatever you want.