Astronauts also need to be able to survive 1) high g reentrues (apollo reached 7 gs on reentry) and abort modes, which can be very high acceleration indeed
For example, the space shuttle uses it's wings (and body) to generate quite a bit of lift and spread the reentry over a much longer period. the g-forces during re-entry. It's 10min at 1.7g.
Though that's from LEO. Apollo came in directly from the moon at a much higher velocity, resulting in ~7g; For the Apollo missions that never left earth orbit, reentry was more like 3.5g.
A space ship aiming to carry untrained passengers will pick designs and mission profiles that are within their passengers abilities to withstand for both launch and reentry. Apollo picked a design and mission profiles with 7g reentry acceleration because they knew their trained astronauts could withstand it.
As for abort.. it's only limited spikes of high-g you only need it to be survivable for the passengers, while the pilots need to be able to control it.