Sir ,
I feel it as unnecessary . There is no rule that every book can be quoted. People say about shankara as SHRUTI,SMRUTI , PURANA NAM AALAYAM ....... etc.
Even there are so many shakhas of Vedas not even 2-3 sentences from every sakha was quoted by shankara .
He took the suitable one as pramanam and quoted it .
Same like purana and smruti vakyas in bhashya grandhas .
Some similarities between yoga vasista and shankara writings will be definitely there .
Like
माता नास्ति पिता नास्ति बन्धु सहोदराः ।
यमस्य करुणा नास्ति तस्मातज्जाग्रत जाग्रत ।। yoga vasista
का ते कांता कस्ते पुत्रः संसारोयमतीव विचित्रः ।
कस्यत्वं कः कुत आयातः तत्त्वं चिन्तय तदिह भ्रातः ।। Bhajagovindam .
Like some similarities exists between them.
The respect towards RAMAYANAM AND BHAGAVATAM also exists . The respect is different of the relevance of bhashyas .
In brahmasutras purana ideology will be rejected yet the respect towards puranam exists.
Even vedam also rejected by shankara at utmost part of advaita . Which is available in the madhaveeya shankara vijaya BHATTA BHASKARA - SHANKARA SAMVADA sarga . It doesn't mean that vedas were opposed by shankara.
After having a study of both yoga vasista and shankara granthas you will understand the similarities definitely.
Sorry for inconvenience if any.
Thank you.