You will end up with the most power using a short FL lens like the G-2. Which diode are you planning on using? If it is the M140, that diode tends to measure 445nm, not 450nm. They do give 2+ watts of output power driven at 1.8 amps.
this is the diode i have.https://www.ebay.co.uk/itm/blue-laser-diode-nichia-M1402w-M-type-LOW-HOURS-450nm-blue-beam-laser-diode/163414114950?_trkparms=aid%3D222007%26algo%3DSIM.MBE%26ao%3D2%26asc%3D20190212102350%26meid%3Dd372dddab7904cfcaa313d07ba836a7a%26pid%3D100012%26rk%3D2%26rkt%3D3%26sd%3D162990132535%26itm%3D163414114950&_trksid=p2047675.c100012.m1985
Those 2 lenses are just about the only options we have without using a beam expander or making a custom lens array..
The first you posted is the single lens that will give you the most power but not the best beam and spot,
and the 2nd is the 3 element which will help give a tighter and a little farther nicer beam and spot but you will lose %25 of the power.
Get both lenses as many here do and you can always choose.
Depends on how far away you want to burn, if you use a much larger diameter collimation lens, you can focus to a smaller spot further away. I've done it using a 3 inch diameter PCX lens, does an awesome job. There are so many ways to do things though, just my preference.