Filtering is essentially an insurance policy, is it most likely wasted money? Probably, is it possible that it can save your ass from potentially getting sick? Sure. What are the odds it saves you, probably below 1%.
My favorite concepts in math are cost/benefit analysis of insurance design, but in the world of insurance, it's going to be different than say an extended warranty, as the manufacturer's warranty generally has the highest occurrence of use vs. the extended warranty.
Why are extended warranties generally bad? You generally will pay around 10-20% of the item's value over the course of say 3X the length of the normal warranty. For electronics in particular, around 90-95% of defects in manufacturing occur as issues within the normal warranty period. In fact, if you make it past the first 6 months, odds are of the electronic failing are below 5% in the next 5-10 years of normal use. This also doesn't account for a depreciation asset cost, so the replacement cost of the item is most likely to be around the cost of the extended warranty in 5 years time.
I can dig up my source, but I worked in the semiconductor industry, and our 90 day quality testing mirrored these kinds of results (you can simulate humid/not fun temperate environments to speed up "aging" for electronics).
Let's look at filters and purely math:
Let's say we aim for 0.1% chance something is going to be funky in your vial that might cause you an adverse reaction that WOULD be filtered out (that is 1 in 1000 vials, probably not a crazy estimate).
For this situation, let's take a mid-range household salary for the US (around $60,000), and let's take a small illness (maybe like 2 days off of work because you feel like crap, not "I need to go to a clinic" crap, just "I can't work" crap)
Those 2 days vs. a roughly 200 days of work/year come out to 1% of your pay, or $600.
So how much does 1 filter cost? I would say around $1.50 looking around at prices (probably a little less in bulk)
Simple math here, 0.001(chance you got a bad vial)* $600(cost of lost work) = $0.60 of risk.
If the cost of risk > cost of the filter, then you should filter.
For myself, I err on the side of more conservative risk, so I would probably put like 0.25% chance instead of 0.1% chance because I'm a chicken, and I also make more than the average salary in the US, so for me, the cost of the risk is higher than the cost of the filter.
That was a fun validation of "Should I do Shit?". Stay tuned for the "Should I eat that?" math!