Minimal images are great. It’s just a different target audience. Minimal images are most often requested by more technical users.
VirtualBox / KVM: Given a choice between minimal and regular, most users choose regular. Last time I checked, download of minimal images was 10% of total downloads. The other 90% were downloads of the regular image.
Most users want things to “just work”. They’re also much more rarely posting in forums.
Hence, minimal images are not a priority.
You would need to show that the likelihood is indeed lower.
Write down a threat model.
Write down all traffic an adversary can see over time such as initial download of the operating system, update traffic, volume of traffic, etc.
Basically, you want to look like Microsoft Windows current most popular version but without using WIndows?
Review Network, Browser and Website Fingerprint in detail, all of the existing research. And then see if you can really still conclude the same that if changing X then Y will get better.
A background in usability design is required for discussion. It cannot be known from personal opinion and philosophical arguments alone.
Being a reasonably complete distribution is the norm. The most popular operating systems are complete, not minimal.
Please show any that connect to the internet without the user starting these.
Which applications to include versus which one not is opinion based and has a high risk of law of triviality / bikeshed.