I want to make sure your company logo will appear on the customer statement, @design-earlstone.

First of all, I appreciate you performing the steps provided by my peer Jovychris_A above and sharing the result with us. 

Adding the logo from the Company settings should show on the customer statement. Since it doesn't appear on your end, let's reupload the company logo. 

If you get the same result, let's try clearing your browser's cache. There are times that the browser you're using had a data issue, thus causing QuickBooks Online (QBO) to act weirdly.

If the issue persists, you may need to perform some troubleshooting steps when printing a PDF document. For more guidance, feel free to check out this article: Test sequence for PDF printing issues.

Once everything's fixed, you might want to see all your created customer statements to review them. To do so, you can go to the Sales menu, then select All sales and choose Statement from the Filter drop-down.

Please let me know if you need more assistance sending customer statements in QBO. I'll be standing by for your response.