It will probably be better - in fact I follow a 2-2-3 schedule now, the longer primary has resulted in an extra point or two drop in gravity and a better tasting final product IMO.
Personally, and many others on the forum here, have dropped secondary all together and are actually doing 3 - 4 week primary's then into the bottle or keg.
I do 3-4 weeks in primary, then a short secondary of a week or less usually. The only reason I do the short secondary (other than dry hopping) is because I can be sloppy with my autosiphon and get a little trub. The week or so in secondary lets that bit of gunk settle out so I get cleaner beer in the bottle. If I wasn't ham-handed, I'd skip the secondary like the cool kids do.
Beer doesn't follow a schedule. It is done when it is done. It might be done in 5 days, it might be done in 21 days. It depends. You need to tune into your beer, get some Zen action going on.
Personally, and many others on the forum here, have dropped secondary all together and are actually doing 3 - 4 week primary's then into the bottle or keg.
Depends on the style, I use 2-2-4, 4-1-3, 4-3 etc. The 123 method does work, but I wouldn't say it is the best method.
Especially when you are first starting out, do what works for you and your set up. You may prefer racking to a Bright (secondary) for your clearer ales, or you may have the patience to let your beer bottle condition for 6 weeks before even tasting one.
I used to always secondary, but I'm lazy and now I do 3 weeks primary, and keg. I always brew close to 6 gallons so I'm not worried about intentionally wasting a few ounces of beer to avoid getting yucky trub in the keg.
For me it's 3 wks in the primary then bottle. Sits in bottle for at least 6 wks before I drink.
One thing to keep in mind (maybe it's just my thing to make myself more patient) is that the longer it sits in the primary, the more time the yeast and trub have time to compact, thus leaving you more beer to bottle.
My first brews I could only wait 10 days or so and I always had a lot more beer left in the primary due to floaties, etc.