You are incorrect, but I can see the misconception. Before Total War, partial cover meant a +3 to hit your target but hits were rolled on the punch chart. You were hard to hit, but any hits that did land were extremely dangerous due to the increased odds of head hits.
When Total War came out, there were two subtle yet very important changes. First, the +3 was reduced to a +1, so the odds of getting hit went up, but not so much that it wasn't worth it in light of the second change: The punch chart usage was eliminated completely. You roll on the normal chart, but any hits that roll a leg location are ignored, treated as if they struck the covering terrain instead. This adds a second layer of protection since shots that beat the +1 still have a chance to miss, and also the odds of rolling a hit to the head are no better than against a mech with no cover. There's essentially no downside to taking partial cover every time you can get it, unless you're fond of firing leg-mounted weapons.
(Also, quads gain immensely from partial cover, due to having more potential leg hits on the hit location tables.)