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 (
    2361, 2808, 677, 2371, 841, 843, 844, 
    842, 831, 832, 833, 834, 2534, 2535, 
    2539, 2536, 2107, 2108, 2109, 2110
  ) 
  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 0.00099

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "28.01"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 40,
      "rows_produced_per_join": 40,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2361,2808,677,2371,841,843,844,842,831,832,833,834,2534,2535,2539,2536,2107,2108,2109,2110)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "24.01",
        "eval_cost": "4.00",
        "prefix_cost": "28.01",
        "data_read_per_join": "67K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
677 narukavniki-p-e-belye-100sht-40up-kor 326/333
831 perchatki-vinil-l-100sht-up-10up-kor. 326/328
832 perchatki-vinil-m-100sht-up-10up-kor 326/328
833 perchatki-vinil-s-100sht-up-10up-kor 326/328
834 perchatki-vinil-xl-100sht-up-10up-kor 326/328
841 perchatki-nitrilovye-l-str 326/330
842 perchatki-nitrilovye-m-100-str 326/330
843 perchatki-nitrilovye-s 326/330
844 perchatki-nitrilovye-xl-h100sht 326/330
2107 perchatki-vinilovye-chernye-neopudrennye-odnorazovye-razmer-l-100-sht-v-upakovke-aviora 326/328
2108 perchatki-vinilovye-chernye-neopudrennye-odnorazovye-razmer-m-100-sht-v-upakovke-aviora 326/328
2109 perchatki-vinilovye-chernye-neopudrennye-odnorazovye-razmer-s-100-sht-v-upakovke-aviora 326/328
2110 perchatki-vinilovye-chernye-neopudrennye-odnorazovye-razmer-xl-100-sht-v-upakovke-aviora 326/328
2361 bahily-4-3gr-s-dvoynoy-podoshvoy-ekstra-tekstur-25-par-up 326/566
2371 perchatki-vinilovye-neopudrennye-tomos-100sht-upak-l 326/330
2534 perchatki-vinilovye-neopudrennye-odnorazovye-razmer-l-100-sht-v-upakovke-aviora 326/328
2535 perchatki-vinilovye-neopudrennye-odnorazovye-razmer-m-100-sht-v-upakovke-aviora 326/328
2536 perchatki-vinilovye-neopudrennye-odnorazovye-razmer-xl-100-sht-v-upakovke-aviora 326/328
2539 perchatki-vinilovye-neopudrennye-odnorazovye-razmer-s-100-sht-v-upakovke-aviora 326/328
2808 bahily-medicinskie-odnorazovye-polietilenovye-chernye-50-par-upak 326/566