Surprise, surprise!
The answer you get from software providers will always be a resounding, no.
"Our tracking script is asynchronous, so it won't slow down site speed or performance for your visitors or customers", says every software that requires a tracking script.
Many software providers claim that their tracking scripts won't slow down your site performance because they're asynchronous.
This simply means that they won't obstruct the loading of other important content on your page. However, if the scripts are bulky, they will most definitely slow down your site.

"Our script is hosted on the fastest CDN providers and should load quickly on subsequent clicks as the data is cached either at the browser level or at the CDN edge. "
Consider this: a significant portion of visitors may leave your webpage before browsing through additional pages.
Whether the script loads instantly on subsequent visits or not, if the initial loading is slow, it could drastically affect your conversion rates, especially when you're attracting thousands or millions of visitors.
How do you know if the script will slow down your website or not?
The core technology behind the script directly influences its filesize. An efficient software shouldn't affect the performance of the user's website due to poor coding.
It's crucial to note that every additional 1KB of uncompressed filesize translates into an added 1 millisecond of loading time. The implications of this can be quite significant.
You be the judge.
Next time ask this instead:
"How much of additional uncompressed filesize will your script add to my site?"
Mida.so script is only 17kb vs other A/B testing tool average 200kb and above. The only client-test testing tool that don't slow down your website.
I added a chatbot, I think this slows down my website a little bit.
Yup, chatbots are usually very heavy, there will always be trade offs.
Any piece of code that is loaded on a website client side or server side will take some processing time, no matter how small, it will add up and slow down your site.
You can load scripts in async mode