iOS 26: Lock screen clock shrinks with media playback

"Is there a way to modify this so the clock on the lock screen remains the same size regardless of media playing or not."

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Try Changing the Clock App Face:

No. The icon is what it is. But, if you refer a different type of clock face, then use a specific app: ClockPhone big digital clocks on the App Store

Recommend this to Apple:

Do your Part: Being of no option, let apple know what feature(s) you want to see added. Apple wont get back to you directly, but the more they hear of this, the more they will know what their customers prefer and what features to include in iOS versions to come.

1. Go Here: Feedback - iPhone - Apple
2. Select: "Feature Request" for the "FeedbackType"
3. Comment: that you want this should be an option and why. Include the URL of this thread.
4. Proceed from there as necessary

To improve my understanding of the phenomenon, it would be highly beneficial if you could share a full screenshot (Do not crop it). Visual representations carry a greater impact than written descriptions.

Please remember that this is a public forum, so when attaching a screenshot, please avoid including any personal credentials such as IP addresses, card details, email IDs, Apple IDs, IMEI numbers, serial numbers, phone numbers, order IDs, or any identifiable location information if you are sharing a map.

With the limited information that you have provided, It is hard to even guess the problems faced by you. 

You may get faster and better responses to your query by --> Writing an effective Apple Support Commun… - Apple ...

Please re-post with detail so that someone else can help.