SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    12569, 12584, 12592, 12575, 12574, 12550, 
    12544, 12564, 12577, 12579, 12555, 
    12560, 12556, 12561, 12572, 12583
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00048

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 32,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12569,12584,12592,12575,12574,12550,12544,12564,12577,12579,12555,12560,12556,12561,12572,12583) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
12544 belgiyskiy-kover-granite-160x230 265/266/278
12550 belgiyskiy-kover-fresco-160x230 265/266/278
12555 belgiyskiy-kover-origami-160h230 265/266/277
12556 belgiyskiy-kover-oscar-160h230 265/266/277
12560 belgiyskiy-kover-origami-200x300 265/266/267
12561 belgiyskiy-kover-oscar-200x300 265/266/267
12564 belgiyskiy-kover-granite-200h300 265/266/277
12569 belgiyskiy-kover-chic-80x125 265/266/278
12572 belgiyskiy-kover-plaza-160x230 265/266/278
12574 belgiyskiy-kover-florense-200x300 265/266/277
12575 belgiyskiy-kover-florense-160x230 265/266/267
12577 belgiyskiy-kover-mirror-160x230 265/266/267
12579 belgiyskiy-kover-mirror-80x125 265/266/267
12583 belgiyskiy-kover-porto-160x230 265/266/278
12584 belgiyskiy-kover-djotto-160x230 265/266/277
12592 belgiyskiy-kover-djotto-200x290 265/266/278