No you should not attribute 1/3 of the losses as being "received from a CA should as if nonresident for full year." ... A CA source for a capital gain would be something like selling a condo located in CA. It is not selling securities in a brokerage account. So it sounds like you probably have no CA sourced capital gains. In that case enter zero.
You should put 1/3 of the gains or losses as earned will a CA resident, and 2/3 while not a CA resident with zero as from a CA source while non resident.
This is all assume you are in the capital gains interview part. Then it is asking about capital gains/losses from CA sources at anypoint during the year. When you review your forms be sure to check and make sure that all of your CA job income is taxed.
Look on your Schedule CA form before filing to make sure it is correct. (both wages, and capital gains/losses). see below.
This is difficult because I don't have access to the CA TT interview questions. That is why I gave you the CA instructions and page to review. Take another look
https://www.ftb.ca.gov/forms/2019/2019-540nr-booklet.pdf page 59.
Also in that booklet see
starting at page 41 (instructions for Schedule A) long description of what is going on and how each type of income (wages, capital gains, etc.) is split between CA resident/non-resident time.
look for the areas relating to capital gains in each column and see how they relate to the worksheet on page 59.
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