The main issue is that transferring a complete path to immortality is riskier, and not as compatible as the 'embryonic form of the path to immortality.'
Otherwise, give Senior White a bit more time, and he could directly deduce the 'Karma Virtuous Path to Immortality' to the level of a complete path to immortality—after all, both karma and virtue are integral parts of what Senior White studied.
The 'embryonic form of the path to immortality' that Senior White himself initially concocted involved both karma and virtue.
So, after obtaining the informational data from Song Shuhang, revising the Karma Virtuous Path to Immortality for Song Shuhang was a piece of cake for him.
"Even I, back when I was at the Ninth Stage Tribulation Transcender Realm, was not such a monster," thought the Dark Sun, comparing his former self to the Immortal White before him...