Should or shouldn't block public ping to a website

[ShiYih Lye <shiyih.lye () my offgamers com>]

Hi,

All this while I'm not allowing any public ping to the website I'm
maintaining, but it's making me tougher to troubleshoot should any
user from the globe having trouble to access our website, as I can't
make them to send a proper traceroute report.

To your opinion, is it necessary to block public ping to a public
website ? Is this security practice still relevant in today exploit
technology ?

And if you think it's still necessary, how do I make sure my user's
traceroute still work when all ICMP is dropped from public ?

Thanks for any input, appreciated that.

Regards,
Lye

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