The wrong two women together (or combination of people) can start the peer pressure, bullying, or hypergamy dynamic. Nobody can accurately predict in advance which combination will be troublesome or force their preferences on others. This is why there is the famous term, cock-blocking. It doesn't always happen, but it appears to happen at a high percentage or too often. You can only remove "group dynamics", when there isn't a group involved.
You also appear to condemn romance, which would make matchmaking or seeing if there is any authentic attraction pointless. The group or leader can decide who should date whom based on their own preferences (which can differ from the woman involved), status, looks, fashion, performances, and or dominance (person taking control of the group). Thus back to peer pressure, bullying, and hypergamy.
The problem with "hooking people up" in that way, is the person chosen (approved of) by the group, may not be who the woman really wants or is naturally attracted to. Often, this "forced" kind of coupling goes nowhere (as lacking romance), or leads to just short time dating (as not really each others type). Many women can go along with what they think the group or leader of it wants, and do what is "expected", but can be quietly dissatisfied or prefer something else.
If it's going to be a random group of people, it might as well be a party, club, or other get together. Which would leave the socially awkward (men or women) at the same disadvantage they always have. At least in a big party, they can kind of "hide in plain sight", encounter new people that approach them, or jump to a new random person when they don't like the conversation or vibe.
Allowing just 2 people to meet in public, where both can leave the setting at any time, often results in couplings based on authentic attraction. Of course, nothing is perfect or guaranteed, and such couplings can fail too. However, it's based on what those 2 adult people wanted and decided to do, versus any group pressure or interference.