If you were to ask about an RF choke somewhere on social media ...you will have loads of people telling you :
Not needed, never used one etc, and perhaps some will tell you ... Yes..it does makes a difference.
It will also be one of those posts with a hundered replies where true knowledge certainly wont get the most thumbs up.
The fact is... it often does make a difference... but those differences are not always observed by the user.
Say...we have a dipole (2x quater wave) as in your Yagi... and we have a coax length which happens to be around a quarter wave length long...
Just ask yourself... how does the "RF Signal" know... it needs to go on the dipole and not on the outside of the coax ? Both are a quater wave long ...both will conduct..RF will go the path of least resistance...so without a doubt the coax becomes part of the antenna..
That (worst case scenario) will look something like this :

Now if we choke that current... we will get something like this:

So without "blocking" that path you could end up with the same amout of current that is on the element will also be on the coax cable...and that can cause issues. Unless you make sure there isnt a path ...it is decoupled.
I wrote a short story about the RF choke here:
cb-antennas.com
In short..
Will the antenna work without it ? ... well in many cases ..yes..(though there are worst case situations where performance will seriously lack...)
Will you notice it ?...well... maybe...depends on the situation...and on your skills to observe it (measure).
Should you use one ? ...without a doubt..yes...it is wise to do so !
Kind regards,
Henry