Other than characters who are synthetic I'm not seeing much of a connection between Picard and Blade Runner. Maybe there is one with BR2049, but I actually don't recall much about that film.
The similarities between BR/BR2049 and PIC go beyond just featuring synthetic characters.
SPOILERS
Blade Runner (1982)
Opening Text:
Early in the 21st Century, THE TYRELL
CORPORATIONadvanced Robot evolution
into the NEXUS phase - a being virtually
identical to a human - known as a Replicant.
The NEXUS 6 Replicant were superior
in strength and agility, and at least equal
in intelligence, to the genetic engineers
who created them.
Replicants were used Off-world as
slave labor, in the hazardous exploration and
colonization of other planets.
>In PIC we're introduced to concept of synthetic life forms being mass produced and used for labor in the federation.
After a bloody mutiny by a NEXUS 6
combat team in an Off-world colony,
Replicants were declared illegal
on earth - under penalty of death.
>Very similar to the synths going rogue in PIC and attacking the Starfleet facilities in and around Mars which caused thousands of deaths and resulted in the Federation declaring a ban on synthetic life forms.
In the film we see Deckard reveal to Rachel that she's a replicant, she denies it by countering that she has memories, and reveals to him one in particular from her childhood. He tells her that it's a false memory, it's not real.
>There's a similar scene in the first episode of PIC where Picard reveals the truth to Dahj that she's a synthetic being, she denies it by saying she has memories of an entire life time, and reveals to him how her father told her how he named her. Picard tells her that as beautiful a memory as it is, it's not real.
In
Blade Runner 2049 we're introduced to "K" who is a replicant with superhuman combat abilities but eventually comes to believe that he's actually the child of a replicant AND a human, making him unique and the first of his kind.
>In PIC Dahj is a new type of android, who has superhuman combat abilities and is actually comprised of human-like physiology making her unique and the first of her kind.
Later on in
Blader Runner 2049 we find out that it's the young woman that works in the field of artificial intelligence who is actually the daughter of a replicant and human.
>In PIC Dahj/Soji are both young women working in the field of artificial intelligence/working with cyborgs, who turn out to be the more human-like daughters of an android.
In
Blade Runner 2049 there is a group of replicants hiding out from society in the hopes that one day they will be freed by their savior, who is the first human/replicant hybrid of its kind.
>In PIC there is apparently a group of synthetics, who are hiding out from society, and Dahj/Soji being the first of their kind seems to be the key to their survival.