It's ironic, but in many ways the presently strong AMD is an asset for Intel in the enterprise market.
Maintaining x86's dominant position in the industry is incredibly important, and if AMD assists that then Intel benefits.
Sales lost to AMD can be regained in the future.

When dealing with major installations considering ARM, if Intel cannot meet their requirements their likely content to lose the contract to AMD.
Losses to ARM could be much more permanent given the potential significant expense in software/services to make the transition.

Of course anyone rolling a new custom local software stack can more easily recompile & switching ISA may not be as difficult for them. Enterprise contracts can be long and there is a great deal of inertia in the market.
Keeping traditional x86 lock-in has to be a priority though.

The harder the transition to Intel, the harder it will be to win them back.
AMD doesn't have the volume to be a huge threat in the near/mid-term future, so if they help keep x86 dominant it works out very well. Intel will be in a better spot tomorrow because AMD is strong today.