I guess it depends on how set you are on a specific unit rather than a weapon type.
If you're DYING for a specific elk/deer unit I'm sure purchasing the multi-season tag early is a nice option... but you still only get 4 draw options, correct? 
http://wdfw.wa.gov/help/questions/198/How+does+the+multiple-season+permit+affect+the+deer+and+elk+special+permits%3F
Their answer is kind of vague.
Yes you can only put in for the given number of hunt choices per draw application. The system will only give you 2 or 4 dropdowns for making choices. The difference is you can choose from hunts of any weapon type. They might not explain it well, but the system will only let you do what you can do.
I guess for me priorities lay a bit different. The weapon in my hands isnt a big concern to me. I like to hunt where and when I can be succesfull. I'll carry whatever weapon I need to in order to hunt the area and times of year I think I can be most succesfull. Likewise I will choose whatever weapon type gives me the best draw odds for making things come together.
I'm not a "bowhunter", or "rifle hunter". I'm just a "hunter".
The multi-season deer tag opens all sorts of doors for a guy. You can hunt the high buck with a rifle for those long range rimrock pokes. Take the bow and chase some velvet blacktails. Grab the muzzy and hit the woods a week or so before the rifle guys and hunt some un-molested deer. Then go to deer camp with your pards and kids. And then if you still havent filled your tag, grab the bow and get in on the rut and then the migration and on into the end of December.
To get that same type of oportunity I have to fly to Alaska and buy their $85 hunting license and $150 deer tag. They pretty well have a 5 month season, pick your poison. I do that about every other year.
I've bought the multi-season deer 2x and this year I'll buy it a third. I'll get my $180's worth out of it, count on it.
