The good an bad news is, the large pad contains a bunch of vias which means BOTH sides the large pad are thermally connected.
When you KNOW the component is defective, CUT THE LEADS. Don't cut them too short.
You can TRY concentrating the heat on the wire itself.
The idea that it will require more heat is valid. You might be able to avoid the hassle altogether by splicing the new component into the cut leads. That will save you a lot of grief. Cut, make a J type hook on both components and solder together.
Since this if your FIRST removal, I think we should be answering as a total Newbie.
Some of the de-soldering techniques include:
1) Heat and pull
2) Cut the leads and remove one at a time - This is good for DIP packages.
3) Solder wick (It's a braid with solder flux available in different sizes
**broken link removed**
4) The Sodapult or hand vacuum solder remover (solder sucker)
4a. Solder or an alloy to lower the melting temperature is sometimes applied after a good portion of the solder is removed and also removed. This allows better heat transfer using the molten solder.
5) You may have to heat both sides, that why I'm suggesting cut and splice. IR heaters and hot air soldering is also used.
6) You can buy an inexpensive bulb desoldering iron: **broken link removed**
7) An expensive temperature controlled solder/desolder station.
6) A commercial desoldering system which contains a vacuum pump
The first 3 items I used here. Solder sucker, bulb, iron attached to bulb. I don't recommend the bulb and the solder sucker attached to an iron will probably be better.