Not paying for a service means you don’t need to enter any bank details hence about privacy in the end. 
Having 2 options doesn’t make it less private tho. More choice means more convenient depending on who’s your user and if they do care about privacy or not.
It’s like allowing you to pay in cash, Monero, Bank details or PayPal for example.
Some are better than others but people should understand by themselves which category of users they belong to and what they do care about.
A product that would be “sorry but Monero only here” is not very sustainable nor practical if your users might not be interested by privacy.
Overall, some products are privacy-only while others are privacy on top of a cool set of features.
Not sure listing recommendations based on a subjective criteria of privacy defaults should be a concern.
If you so have a bit of self-criticism you should read the entire page of a given need, weight the pros/cons, then decide for yourself which one you like the most.
Spoon feeding by letting people speedrun their account creation by clicking on 3 big blue buttons that are defaulting to privacy-respectful flows should not be a criteria of any sort.
Simple example to illustrate the point above: if you go to checkout a product and it defaults to Apple Pay while the option below is for Monero, should it be listed down the chain on the recommendation page just because it is not selecting Monero first?
No, the most common should be the default from an inclusive and generic UX.
You don’t default to a minority.
Yet you can allow the minority to pick their option.
Another example: if you have a website that asks for your gender, should it default to they/them (or “don’t identify”) over a more common male or female?
Probably not.
People not identifying as male or female still have the choice to opt in for something different yet it is not the default and that’s fine.
Mostly a question of product design, UX flow, probability defaults.
A product that doesn’t pick my niche defaults should not be tagged as inferior because I’m the singularity here.
Also again: people should just read and make up their mind when there is 2 choices to pick from. It’s not too much brain power if we’re honest.
PG is already picky and chooses quality over quantity. Hence not sure further subjective ordering is needed.
Alphabetical is a good idea in general but not for when a product is overall inferior to the other based on features, street-cred or other objective points as mentioned above.
If one has a feature over the other that is far more important to you than the other, you can make that choice for yourself.
Having those details added to the recommendation is meanwhile a very good idea if it’s a strong argument in favor of it (Aegis allowing for something very extra over Ente for example).