TLS Handshake failure on first page load

Question

We have noticed an issue where loading web pages on some CE device browsers (TV, Set-top boxes etc) exhibit an odd behavior:

• When loading first time an HTTPS URL (<https_customer_url>), the page does not load at all (packet capture reveals that TLS handshake fails)
• When loading the same HTTPS URL(from an already loaded page) using window.location = "<https_customer_url>", the exact same HTTPS URL loads fine.

Any advice into what might cause the difference would be very helpful.