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They will not prevent them from growing. You may find issues with the flowers having enough water to grow, as the tree may use up the available water.

As long as your plants are mature it should not have any adverse reactions. If you have some concerns about the shavings robbing nitrogen from your existing plants you can incorporate them into a compost pile for a season and allow them to decompose a bit before adding them to your garden bed.

During a dry spell or drought situation, 1 inch of water every 2 to 3 weeks.

https://www.gardeningknowhow.com/ornamental/trees/camphor-tree/camphor-tree-growing.htm

Camphor are beautiful sub-tropical trees, native to southern China. Heat they can take if adequately irrigated, snow and sub-freezing temperatures of northern Arizona they cannot.

It sounds like your soil is very slow to drain.

Well draining soil is needed for success with many trees, including the Camphor Tree.

I am concerned at the proximity you have these trees planted, both to each other and to a patio. This may not be the best tree for your location.
This link will refresh you on the care and growing habit of this tree.

https://www.gardeningknowhow.com/ornamental/trees/camphor-tree/camphor-tree-growing.htm

Camphor trees are very slow growing, to about 50' tall and about 60' wide. Tree root systems typically grow near the soil surface and extend one to one-and-one-half times the diameter of the tree canopy. Roots will naturally gravitate toward sources of water, which can include drainfields and leaky water pipes. To be on the safe side, provide 60-90 feet of space between underground sources of water and the trunk of a camphor tree.
https://www.gardeningknowhow.com/ornamental/trees/camphor-tree/camphor-tree-growing.htm