If you couldn't exceed 1g, then you couldn't hold altitude in a turn.
Most choppers are able to comfortably hold 2.7g, which is a 60 degree bank level turn, plus a wind gust. The normal envelope starts at 0kts and 1g, stays level at 1g heading to the right to Vne, goes vertical, or a bit backwards to 2.7, then goes level left back to 60kt or a bit less, where the machine can't pull that much, and slopes back down to the starting point of 0kt/1g. Teetering heads are not allowed to fly at less than 1g.
Some rigid heads, like the BK117, are certified to 3.5g, which means the rotor system can cope with a bit more than that. Envelope starts at 0kt/1g but dives down to include -1g and the top limit was 3.5g. Considerably bigger.