I've run a lot of fate & the links of that to fate are obvious right down to the index cards for aspects, but that manages to be even lower cost than invoking aspects in fate literally for the same +2 bonus. In fate there are two ways to invoke an aspect as the link describes (either yours or the fate one).
The first is to spend a fate point to make use of an aspect you or an ally didn't create or an aspect that has expended all of the free invokes. Fate poinys are not always easy to get & obtained in ways that are likely in conflict with d&d explaining why it has absolutely no mechanics for something similar unless you realllllly stretch to use inspiration.
The second is to use your action to create an advantage granting one or potentially more free invocations of that aspect but obviously not on the same action you used to create it or it would be like using one action to do two things.
This is a neat idea that is missing pieces, doesn't really mix with d&d, & potentially makes it difficult to narrate combat without replacing "does 17 hit> yes>I got a 7 & let go of the light>Alice you do 7 damage to it bob your turn" with "if I swing from the chandelier to attack it does that grant advantage>yes>cool dos a 17 hit>yes?> got a seven>alice you hit for 7 bob your up>if I swing from the chandelier to attack it does that grant advantage". Giving players the ability to make fate style aspects & make use of the fate fractal would destroy d&d into a heretically broken mess because it's just backwards of the assumptions made by every other part of he system