Is TIG welding strong enough to fix an axe?

I have a buddy who has offered to repair this crack by grinding a big groove in it and TIG welding it with a root and some fills and then capping it.

I’d love to get some insight from other welders about the viability of this option.

A couple things to note. Looks like the axe head was previously repaired with an inadequate weld job. I don’t think the temper is a concern given the placement of the crack.

Thanks in advance!